Details

analyze870.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
26.2%	73.6%	0.2%	14

sample23.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	21×	body	80	invalid

simplify196.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (195.0ms)

Iter	Nodes	Cost
0	5600	11

prune13.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 2

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
1.2b	(* y (/ (- z t) (- a t)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 113

Calls

3 calls:

4.0ms	(+ x (* y (/ (- z t) (- a t))))
8.0ms	(/ (- z t) (- a t))
14.0ms	(* y (/ (- z t) (- a t)))

series57.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(+ x (* y (/ (- z t) (- a t))))
10.0ms	(/ (- z t) (- a t))
17.0ms	(* y (/ (- z t) (- a t)))

simplify45.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4984	1366
1	4984	1366

prune132.0ms

Filtered

82 candidates to 122 candidates (-48.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	117	5	122
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	117	7	124

Merged error: 0.0b

Counts

124 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
0.0b	(/ (- a t) (- z t))
0.2b	(/ 1 (/ (- a t) (- z t)))
1.2b	(* y (/ 1 (/ (- a t) (- z t))))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
336×	`add-sqr-sqrt`
324×	`*-un-lft-identity`
158×	`add-cube-cbrt`
98×	`associate-r`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`add-exp-log` `associate-/r*`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`add-log-exp`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `pow-flip` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `flip-+` `inv-pow`

Counts

4 → 338

Calls

4 calls:

3.0ms	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
8.0ms	(/ (- a t) (- z t))
12.0ms	(/ 1 (/ (- a t) (- z t)))
32.0ms	(* y (/ 1 (/ (- a t) (- z t))))

series93.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
10.0ms	(/ (- a t) (- z t))
18.0ms	(/ 1 (/ (- a t) (- z t)))
32.0ms	(* y (/ 1 (/ (- a t) (- z t))))

simplify79.0ms

Algorithm

egg-herbie

Counts

350 → 350

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5080	4579

prune279.0ms

Filtered

204 candidates to 350 candidates (-71.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	348	2	350
Fresh	3	2	5
Picked	1	0	1
Done	0	1	1
Total	352	5	357

Merged error: 0.0b

Counts

357 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- a t) (- z t))))
0.0b	(/ (- a t) (- z t))
1.0b	(/ y (/ (- a t) (- z t)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
197×	`*-un-lft-identity`
195×	`add-sqr-sqrt`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3-+` `div-sub` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 206

Calls

3 calls:

26.0ms	(+ x (/ y (/ (- a t) (- z t))))
7.0ms	(/ (- a t) (- z t))
12.0ms	(/ y (/ (- a t) (- z t)))

series76.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(+ x (/ y (/ (- a t) (- z t))))
10.0ms	(/ (- a t) (- z t))
31.0ms	(/ y (/ (- a t) (- z t)))

simplify65.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5287	3369

prune166.0ms

Filtered

145 candidates to 215 candidates (-48.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	214	1	215
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	214	6	220

Merged error: 0b

Counts

220 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (- a t))
0.0b	(+ x (* (/ y (- a t)) (- z t)))
11.1b	(* (/ y (- a t)) (- z t))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-l`
10×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-r` `associate-/r*` `add-log-exp`
4×	`sub-neg` `flip3--` `associate-/r/` `flip--`
3×	`associate-/l*`
2×	`cbrt-undiv` `distribute-rgt-in` `frac-times` `associate-+r+` `distribute-lft-in` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 98

Calls

3 calls:

5.0ms	(/ y (- a t))
3.0ms	(+ x (* (/ y (- a t)) (- z t)))
12.0ms	(* (/ y (- a t)) (- z t))

series72.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(/ y (- a t))
38.0ms	(+ x (* (/ y (- a t)) (- z t)))
27.0ms	(* (/ y (- a t)) (- z t))

simplify56.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4969	1109
1	4969	1109

prune89.0ms

Filtered

77 candidates to 107 candidates (-39.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	107	6	113

Merged error: 0b

Counts

113 → 6

regimes506.0ms

Accuracy

0% (1.2b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	11
1	23	11

end0.0ms

sample587.0ms

Algorithm

intervals

Results

301.0ms	7997×	body	80	valid
25.0ms	729×	body	80	invalid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid

Details

analyze870.0ms

sample23.0ms

simplify196.0ms

prune13.0ms

localize13.0ms

rewrite30.0ms

series57.0ms

simplify45.0ms

prune132.0ms

localize9.0ms

rewrite77.0ms

series93.0ms

simplify79.0ms

prune279.0ms

localize10.0ms

rewrite57.0ms

series76.0ms

simplify65.0ms

prune166.0ms

localize10.0ms

rewrite24.0ms

series72.0ms

simplify56.0ms

prune89.0ms

regimes506.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample587.0ms

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